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Finding the Third Proportional to 9,786.94 and 21,153.38

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Solution

The third proportional to 9,786.94 and 21,153.38 is: 45,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.94 : 21,153.38 = 21,153.38 : x
  2. Step 2: Convert to fraction form
    9,786.94/21,153.38 = 21,153.38/x
  3. Step 3: Cross multiply
    9,786.94x = 21,153.38 × 21,153.38
  4. Step 4: Simplify right side
    9,786.94x = 447,465,273.89
  5. Step 5: Solve for x
    x = 447,465,273.89/9,786.94
  6. Step 6: Final answer
    x = 45,720.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.